Mister Exam
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How to use it?
- Limit of the function:
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Limit of (-64+4^x)/(-3+x)
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Limit of (3-x^2+5*x)/(4*x^7+81*x)
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Limit of (-2+2*x^3+7*x)/(-4-x+3*x^3)
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Limit of (1-sin(x))/cos(x)
- Derivative of:
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3-2*x
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Identical expressions
- three - two *x
- 3 minus 2 multiply by x
- three minus two multiply by x
- 3-2x
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Similar expressions
- 3+2*x
Limit of the function 3-2*x
The solution
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lim (3 - 2*x) x->0+
$$\lim_{x \to 0^+}\left(- 2 x + 3\right)$$
Limit(3 - 2*x, x, 0)
Lopital's rule
There is no sense to apply Lopital's rule to this function since there is no indeterminateness of 0/0 or oo/oo type
The graph
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to 0^-}\left(- 2 x + 3\right) = 3$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(- 2 x + 3\right) = 3$$
$$\lim_{x \to \infty}\left(- 2 x + 3\right) = -\infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(- 2 x + 3\right) = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(- 2 x + 3\right) = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(- 2 x + 3\right) = \infty$$
More at x→-oo
More at x→0 from the left
$$\lim_{x \to 0^+}\left(- 2 x + 3\right) = 3$$
$$\lim_{x \to \infty}\left(- 2 x + 3\right) = -\infty$$
More at x→oo
$$\lim_{x \to 1^-}\left(- 2 x + 3\right) = 1$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(- 2 x + 3\right) = 1$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(- 2 x + 3\right) = \infty$$
More at x→-oo
One‐sided limits
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lim (3 - 2*x) x->0+
$$\lim_{x \to 0^+}\left(- 2 x + 3\right)$$
3
$$3$$
= 3
lim (3 - 2*x) x->0-
$$\lim_{x \to 0^-}\left(- 2 x + 3\right)$$
3
$$3$$
= 3
= 3
The graph